Process for the production of at least one organic compound having at least 3 C atoms or having at least 2 C atoms and at least 1 N atom by fermentation. In particular, the process comprises milling a starch feedstock, thus obtaining a millbase which comprises at least part of the nonstarchy solid constituents of the starch feedstock; suspending the millbase in an aqueous liquid and liquefying the millbase present in the aqueous liquid in the presence of at least one starch-liquefying enzyme, obtaining an aqueous dextrin-containing medium (1) which comprises at least a part of the nonstarchy solid constituents of the starch feedstock; and using the aqueous dextrin-containing medium (1) in a fermentation for culturing a microorganism which is capable of overproducing the organic compound; wherein enzymes which hydrolyze the dextrins to monosaccharides are being added in an amount of less than 0.001% by weight based on the total weight of the starch feedstock employed, or not at all.